Local differential pressure analysis in a slugging bed using deterministic chaos theory

Chemical Engineering Science

Volumn 52, Issue 3, 1996, Pages 357-370

  Karamavruç, Ali Ihsan ^a   Clark, Nigel N ^a  

^a WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

Deterministic chaos; fluidized bed; signal analysis

Indexed keywords

BUBBLES (IN FLUIDS); CHAOS THEORY; CORRELATION METHODS; NYLON POLYMERS; PRESSURE; PROBES; SPECTRUM ANALYSIS; SPHERES;

DIFFERENTIAL PRESSURE; DUAL STATICS PRESSURE PROBES; SLUGGING BEDS; SLUGS;

FLUIDIZED BEDS;

EID: 0030939484     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(96)00390-9     Document Type: Article

References (35)

1. Atkinson, C. M. and Clark, N. N. (1988) Gas sampling from fluidized beds: a novel probe system. Powder Technol. 54, 59.
2. Bouillard, J. X. and Miller, A. L. (1994) Experimental investigations of chaotic hydrodynamic attractors in circulating fluidized bed. Powder Technol. 79, 211.
3. Chatfield, C. (1984) The Analysis of Time Series: An Introduction. Chapman and Hall, London.
4. Clark, N. N., McKenzie, Jr. E. A. and Gautam, M. (1991) Differential pressure measurements in slugging fluidized bed. Powder Technol. 67, 187.
5. Cover, T. M. and Thomas, J. A. (1991) Element of Information Theory. J. Wiley, New York.
6. Daw, C. S. and Halow, J. S. (1993) Evaluation and control of fluidization quality through chaotic time series analysis of pressure-drop measurements. A.I.Ch.E. Symp. Ser. 89, 103.
7. Fan, L. T., Ho, C. T., Hiraoka, S. and Walawender, W. P. (1981) Pressure fluctuations in a fluidized bed. A.I.Ch.E. J. 27, 388.
8. Fan, L. T., Kang, Y., Neogi, D. and Yashima, M. (1993) Fractal analysis of fluidized particle behavior in liquid-solid fluidized beds. A.I.Ch.E. J. 39, 513.
9. Flemmer, R. L. C. (1984) A pneumatic probe to detect gas bubbles in fluidized beds. 1. Method of operation. Ind. Engng Chem. Fundam. 23, 113.
10. Fraser, A. M. and Swinney, H. L. (1986) Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33, 1134.
11. Fuller, T. A., Flynn, T. J., Daw, C. S. and Halow, J. S. (1993) Interpretation of pilot-scale, fluidized bed behavior using chaotic time series analysis. Proceedings of the 12th International Conference on Fluidized Bed Combustion, ASME, San Diego, Vol. 1, p. 126.
12. Grassberger, P. and Procaccia, I. (1983) Estimation of the Kolmogorov entropy from a chaotic signal. Phys. Rev. A 28, 2591.
13. Hurst, E. H. (1956) Methods of using long-term storage in reservoirs: I. Proc. Instn Civil Engrs 5, 519.
14. Karamavruç, A. I. and Clark, N. N. (1995) Application of deterministic chaos theory to local instantaneous temperature, pressure and heat transfer coefficient in a gas fluidized bed. Proceedings of the 6th International Symposium on Gas-Solid Flows, Joint ASME/JSME Fluids Engineering Conference, South Carolina, U.S.A.
15. Karamavruç, A. I., Clark, N. N. and Halow, J. S. (1995) Application of mutual information theory to the fluid bed temperature and differential pressure signal analysis. Powder Technol. 84, 247.
16. Kunii, D. and Levenspiel, O. (1991) Fluidization Engineering. Butterworth-Heinemann, London.
17. Lirag, R. C. and Littman, H. (1971) Statistical study of pressure fluctuations in a fluidized bed. A.I.Ch.E. Symp. Ser. 67, 116.
18. McKain, D., Clark, N. N. and Atkinson, C. (1994) Correlating local tube surface heat transfer with bubble presence in a fluidized bed. Powder Technol. 79, 69.
19. McKenzie, E. A. (1990) Behavior of a slugging fluidized bed determined using differential static pressure probes. M.S. thesis, West Virginia University.
20. Packard, N. H., Crutchfield, J. P., Farmer, J. D. and Shaw, R. S. (1980) Geometry from a time series. Phys. Rev. Lett. 49, 712.
21. Pence, D. V., Beasley, D. E. and Riester, J. B. (1994) Deterministic chaotic behavior of heat transfer in gas fluidized beds. Proceedings of the 6th AIAA/ASME Thermophysics and Heat Transfer Conference, Colorado Springs, CO.
22. Renyi, A., (1970) Probability Theory. North-Holland, Amsterdam.
23. Roux, J. C. Simoyi, H. and Swinney, H. L. (1983) Observation of strange attractor. Physica D 8, 257.
24. Saxena, S. C. and Rao, N. S. (1989) Fluidization characteristics of gas-fluidized beds: air and glass beads system. Energy 14, 811.
25. Schuster, H. G., 1984, Deterministic Chaos; An Introduction. Physic, Weinheim, Germany.
26. Shannon, C. E. and Weaver, W. (1949) The Mathematical Theory of Communication. University of Illinois Press, Urbana.
27. Sitnai, O. (1982) Utilization of the pressure differentials records from gas fluidized beds with internals for bubble parameters determination. Chem. Engng Sci. 37, 1059.
28. Skrzycke, D. P., Nguyen, K. and Daw, C. S. (1993) Characterization of the fluidization behavior of different solid types based on chaotic time series analysis of pressure signals. Proceedings of the 12th International Conference on Fluidized Bed Combustion, ASME, San Diego, Vol. 1, p. 155.
29. Stappen, M. L. M. Van Der Schouten, J. C. and Van den Bleek, C. M. (1993) Deterministic chaos analysis of the dynamical behavior of slugging and bubbling fluidized beds. Proceedings of the 12th International Conference on Fluidized Bed Combustion, ASME, San Diego, Vol. 1, p. 129.
30. Stewart, P. S. B. and Davidson, J. F. (1967) Slug flow in fluidized beds. Powder Technol. 1, 60.
31. Stiles, R. D. and Clark, N. N. (1992) Accounting for the effect of turbulent flow in large-bore fluidized bed pressure probes. Flow Meas. Instrum. 3, 9.
32. Svoboda, K., Cermak, J., Hartman, M., Drahos, J. and Selucky, K. (1983) Pressure fluctuations in gas fluidized bed at elevated temperature. Ind. Engng Chem. Process Des. Dev. 22, 514.
33. Takens, F. (1981) Detecting strange attractors in turbulence. Lecture Notes in Mathematics. Vol. 898, p. 10.3, eds D. A. Rand and L. S. Young. Springer, Berlin, 898, 103.
34. Thompson, J. M. T. and Stewart, H. B. (1987) Nonlinear dynamics and chaos. Wiley, New York.
35. Yutani, N., Ho, T. C., Fan, L. T., Walawender, W. P. and Song, J. C. (1983) Statistical study of the grid zone behavior in a shallow gas-solid fluidized bed using a mini-capacitance probe. Chem. Engng Sci. 38, 575.